6x(x+2)=288

Solution for 6x(x+2)=288 equation:

Simplifying
6x(x + 2) = 288

Reorder the terms:
6x(2 + x) = 288
(2 * 6x + x * 6x) = 288
(12x + 6x2) = 288

Solving
12x + 6x2 = 288

Solving for variable 'x'.

Reorder the terms:
-288 + 12x + 6x2 = 288 + -288

Combine like terms: 288 + -288 = 0
-288 + 12x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-48 + 2x + x2) = 0

Factor a trinomial.
6((-8 + -1x)(6 + -1x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-8, 6}